Results 111 to 120 of about 63,846 (213)

A sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and its applications to (directed) hypergraphs

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we obtain a sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and characterize when this bound is achieved. Furthermore, this result deduces the main result in [X. Duan and B.
Chuang Lv, Lihua You, Xiao-Dong Zhang
doaj   +1 more source

On the Spectra of Commuting and Non Commuting Graph on Dihedral Group

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2017
Study about spectra of graph has became interesting work as well as study about commuting and non commuting graph of a group or a ring. But the study about spectra of commuting and non commuting graph of dihedral group has not been done yet.
Abdussakir Abdussakir   +2 more
doaj   +1 more source

Signless Laplacian spectral radius and Hamiltonicity

open access: yesLinear Algebra and its Applications, 2010
For an \(n\) vertex of a graph \(G\), the matrix \(L^*(G)=D(G)+A(G)\) is the signless Laplacian matrix of \(G\), where \(D(G)\) is the diagonal matrix of vertex degrees and \(A(G)\) is the adjacency matrix of \(G\). Let \(\gamma(G)\) be the largest eigenvalue of \(L^*(G)\).
openaire   +1 more source

H$^+$-Eigenvalues of Laplacian and Signless Laplacian Tensors

open access: yes, 2013
We propose a simple and natural definition for the Laplacian and the signless Laplacian tensors of a uniform hypergraph. We study their H$^+$-eigenvalues, i.e., H-eigenvalues with nonnegative H-eigenvectors, and H$^{++}$-eigenvalues, i.e., H-eigenvalues with positive H-eigenvectors.
openaire   +2 more sources

On the signless Laplacian spectra of k-trees

open access: yesLinear Algebra and its Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Minjie, Li, Shuchao
openaire   +2 more sources

Applications on color (distance) signless laplacian energy of annihilator monic prime graph of commutative rings

open access: yesAin Shams Engineering Journal
In this study, we define the structure formation of the annihilator monic prime graph of commutative rings, whose distinct vertices X and J satisfies a condition annXJ≠annX⋃ann(J), graph is denoted by AMPG(Zn[x]/〈fx〉).
R. Sarathy, J. Ravi Sankar
doaj   +1 more source

Some sufficient conditions on hamilton graphs with toughness. [PDF]

open access: yesFront Comput Neurosci, 2022
Cai G, Yu T, Xu H, Yu G.
europepmc   +1 more source

Some graphs determined by their (signless) Laplacian spectra [PDF]

open access: yesCzechoslovak Mathematical Journal, 2012
Let \(A(G)\) be the adjacency matrix of a graph \(G\) and let \(D(G)\) be the diagonal matrix whose entries are the degrees of the vertices of \(G\) in the order corresponding to the matrix \(A\). Then \(L(G) = D(G) - A(G)\) is called the Laplacian of \(G\) and \(Q(G) = D(G) + A(G)\) is the signless Laplacian of \(G\).
openaire   +2 more sources

Some improved bounds on two energy-like invariants of some derived graphs

open access: yesOpen Mathematics, 2019
Given a simple graph G, its Laplacian-energy-like invariant LEL(G) and incidence energy IE(G) are the sum of square root of its all Laplacian eigenvalues and signless Laplacian eigenvalues, respectively. This paper obtains some improved bounds on LEL and
Cui Shu-Yu, Tian Gui-Xian
doaj   +1 more source

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